SOLUTION: The length of a rectangular garden is 3 meters more than seven times its width. Find the length and width of the garden if the perimeter of the garden is 70 meters.

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The length of a rectangular garden is 3 meters more than seven times its width. Find the length and width of the garden if the perimeter of the garden is 70 meters.      Log On

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Question 225638: The length of a rectangular garden is 3 meters more than seven times its width. Find the length and width of the garden if the perimeter of the garden is 70 meters.
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
L=7W+3
P=2L+2W
70=2(7W+3)+2W
70=14W+6+2W
70=16W+6
16W=70-6
16W=64
W=64/16
W=4 M. ANS. FOR THE WIDTH.
L=7*4+3
L=28+3
L=31 M. ANS FOR THE LENGTH.
PROOF:
70=2*31+2*4
70=62+8
70=70